If identifying as a woman "justifies" a man going into a woman's restroom and since it also means that people can't stop that man, I guess the following is true: You can identify as someone (or some thing) that someone else is and nobody can stop you from acting out their part.
Ok then: I identify as Mark Zuckerberg. The banks better not discriminate when I want to withdraw more money than Janson Smithers has in savings.